Question
Download Solution PDFIf P(A) = 0.2, P(B) = P and P(A ∪ B) = 0.6. If A and B are independent events, then the value of P is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- For two events A and B, we have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
- If A and B are independent events, then P(A ∩ B) = P(A) × P(B).
Calculation:
Using the concept above, because A and B are independent events, we can write:
P(A ∪ B) = P(A) + P(B) - P(A) × P(B)
⇒ 0.6 = 0.2 + P - 0.2 × P
⇒ 0.8P =0.4
⇒ P = 0.5.
Last updated on Apr 16, 2025
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